This paper deals with fractional-order controlled systems and fractional-order controllers in the frequency domain. The mathematical description by fractional transfer functions and properties of these systems are presented. The new ways for modelling of fractional-order systems are illustrated with a numerical example and obtained results are discussed in conclusion.
@article{arxiv.math/0008186,
title = {The modelling and analysis of fractional-order control systems in frequency domain},
author = {I. Petras and L. Dorcak and P. O'Leary and B. M. Vinagre and I. Podlubny},
journal= {arXiv preprint arXiv:math/0008186},
year = {2007}
}